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Revenue Recognition (Narrative) (Details) - USD ($) | 3 Months Ended | 6 Months Ended |
--- | --- | --- | ---
Feb. 28, 2021 | Feb. 29, 2020 | Feb. 28, 2021 | Feb. 29, 2020 | Aug. 31, 2020
Disaggregation of Revenue [Line Items] |  |  |  |  |
Accrued liabilities | $ 24,451,000 |  | $ 24,451,000 |  | $ 21,660,000
Reduction to revenue | 111,905,000 | $ 100,049,000 | 236,464,000 | $ 198,605,000 |
Accounting Standards Update 2014-09 [Member] |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |
Contract liabilities | 2,300,000 |  | 2,300,000 |  | 1,400,000
Contract assets | 0 |  | 0 |  | 0
Accounting Standards Update 2014-09 [Member] | Rebate [Member] |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |
Accrued liabilities | 7,800,000 |  | 7,800,000 |  | 7,500,000
Reduction to revenue | (5,800,000) | (4,400,000) | (11,100,000) | (9,400,000) |
Accounting Standards Update 2014-09 [Member] | Cash Discounts [Member] |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |
Reduction to revenue | (1,100,000) | $ (1,000,000.0) | (2,300,000) | $ (2,000,000.0) |
Allowance for cash discount | $ 500,000 |  | $ 500,000 |  | $ 500,000

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